Concept explainers
In Exercises 1-21, perform the indicated operations.
1.
The expression after performing the indicated operations.
Answer to Problem 1MCP
Solution:
After performing the indication operation, the given expression is determined to be
Explanation of Solution
Given:
The algebraic expression
Concept used:
Term: A term is a number, variable or the product of a number and variable.
Coefficient: A coefficient is the numeric factor of the given term.
Constant term: A constant term is a term that contains only a number.
Degree of the term: The degree of the term is the sum of the exponents on the variables contained in the term.
Like terms: Like terms are those that have the exact same variables raised to the exact same exponents. When applying algebraic addition or subtraction to a given expression, only like terms can be combined and their coefficients added or subtracted respectively.
Product rule for exponents:
When multiplying terms of an expression, the exponents of like bases are added as follows,
Quotient rule for exponents:
Dividing like bases with exponents follows the quotient rule as follows:
Calculation:
Description: | |
Step 1: Remove the brackets ( ) and simplify Step 2: To multiply monomials use the product rule, add the exponents of like bases. Here, the bases are x and y . | |
Conclusion:
After performing the indication operation, the given expression is determined to be
Want to see more full solutions like this?
Chapter 5 Solutions
Introductory Algebra for College Students (7th Edition)
- 20 2. Let A = = [ -2 0 1 3 ] and B = 2 3 -1 2 For each of the following, calculate the product or indicate why it is undefined: (a) AB (b) BAarrow_forwardAnswer the number questions with the following answers +/- 2 sqrt(2) +/- i sqrt(6) (-3 +/-3 i sqrt(3))/4 +/-1 +/- sqrt(6) +/- 2/3 sqrt(3) 4 -3 +/- 3 i sqrt(3)arrow_forward1 Matching 10 points Factor and Solve 1)x3-216 0, x = {6,[B]} 2) 16x3 = 54 x-[3/2,[D]] 3)x4x2-42 0 x= [ +/-isqrt(7), [F] } 4)x+3-13-9x x=[+/-1.[H]] 5)x38x2+16x=0, x = {0,[K}} 6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3)) 7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}} 8) 5x³-3x²+32x=2x+18 x = {3/5, [S]} [B] [D] [F] [H] [K] [M] [Q] +/-2 sqrt(2) +/- i sqrt(6) (-3+/-3 i sqrt(3))/4 +/- 1 +/-sqrt(6) +/- 2/3 sqrt(3) 4 -3 +/- 3 i sqrt(3) [S]arrow_forward
- The only problems I need help with ae the last 8 ones, Thanksarrow_forwardGraph without using the calculator y-1 = | x+4 |arrow_forward9:43 AS く Akbar © Printed in the United States 15) Scale: 1 cmal unit on both axes .ill 64% The graph above shows a straight line QT intersecting the y-axis at T. i State the co-ordinates of T. ii Calculate the gradient of QT 16) iii Determine the equation of QT. A (-1, 9) ||| i L Г (5 marks)arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt